Pith Number

pith:GXRAQAIT

pith:2012:GXRAQAITVXGTSNFTTFQB6SYKFK

not attested not anchored not stored refs pending

Entropy of polyhedral billiard

Nicolas B\'edaride

arxiv:1204.6556 v1 · 2012-04-30 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXRAQAITVXGTSNFTTFQB6SYKFK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:56:44.493956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e2080113adcd3934b399601f4b0a2aa7a1de44642b57bfab5068c535c8d4ec

Aliases

arxiv: 1204.6556 · arxiv_version: 1204.6556v1 · doi: 10.48550/arxiv.1204.6556 · pith_short_12: GXRAQAITVXGT · pith_short_16: GXRAQAITVXGTSNFT · pith_short_8: GXRAQAIT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GXRAQAITVXGTSNFTTFQB6SYKFK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 35e2080113adcd3934b399601f4b0a2aa7a1de44642b57bfab5068c535c8d4ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a137e799c7a48cecd044355e00cadb461dc2fb5f8ff41ae4b5acff5ac0ffa539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-30T05:57:53Z",
    "title_canon_sha256": "d177e96477e200e43639d8dbff4eaa0ccc2c3d2a2aeddbf456bb94b22feec9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6556",
    "kind": "arxiv",
    "version": 1
  }
}